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Some remarks on the unit groups of integral group rings

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Publication:1065115
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DOI10.1007/BF01235773zbMath0576.16011OpenAlexW1987183308MaRDI QIDQ1065115

Ashwani K. Bhandari

Publication date: 1985

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235773


zbMATH Keywords

unitscommutator subgroupresidual solvabilityLie residual nilpotence


Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Residual properties and generalizations; residually finite groups (20E26) Units, groups of units (associative rings and algebras) (16U60)


Related Items (3)

Unnamed Item ⋮ Group rings whose augmentation ideals are residually Lie solvable ⋮ Integral group rings: Groups of units and classical K-theory



Cites Work

  • Unnamed Item
  • Integral group rings with residually nilpotent unit groups
  • The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
  • Group rings and their augmentation ideals
  • Solutions of an Equation in Abelian Groups
  • Free Subgroups in the Unit Groups of Integral Group Rings


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